Giant Planets
Atmospheric Science · Part 10
210 KB10 sections4 key equationsLaTeX typeset
Table of Contents
- 1.Jupiter's Atmosphere: Composition & Cloud Layers
- 2.Jovian Circulation: Geostrophic Turbulence & Alternating Jets
- 3.Great Red Spot: Anticyclonic Vortex Dynamics
- 4.Jupiter's Internal Heat: Kelvin-Helmholtz Contraction
- 5.Saturn: Helium Rain & Hexagonal Polar Vortex
- 6.Uranus: Extreme Obliquity & Minimal Internal Heat
- 7.Neptune: Strongest Winds & Great Dark Spot
- 8.Metallic Hydrogen & Magnetic Field Generation
- 9.Fortran: 1D Radiative-Convective Model for H/He Atmosphere
- 10.Layer 1 (Uppermost): Ammonia Ice (NH)
Key Equations
$$\frac{d\ln p_{\text{sat}}}{dT} = \frac{L}{RT^2} \quad \Rightarrow \quad p_{\text{sat}}(T) = p_0 \exp\left[-\frac{L}{R}\left(\frac{1}{T} - \frac{1}{T_0}\right)\right]$$
$$\frac{\partial u}{\partial z} = -\frac{g}{fT}\frac{\partial T}{\partial y}$$
$$F_{\text{int}} = \sigma T_{\text{eff}}^4 - \frac{S_0(1-A)}{4} = 13.6 - 8.1 = 5.5 \text{ W/m}^2$$
$$c_s = \sqrt{\frac{\gamma k_B T}{\mu m_H}} = \sqrt{\frac{1.4 \times 1.381 \times 10^{-23} \times 70}{2 \times 1.67 \times 10^{-27}}} \approx 570 \text{ m/s}$$
Equations are rendered with MathJax in the PDF with professional LaTeX typesetting.
Course Context
This PDF is part of the Atmospheric Science course on CoursesHub.World. Study the physics of weather and climate from atmospheric thermodynamics to planetary atmospheres. Covers atmospheric dynamics, synoptic meteorology, clouds and precipitation, radiation budgets, clima...
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